Generalized Hamiltonian forms of dissipative mechanical systems via a unified approach

DOI10.1016/j.geomphys.2020.103976zbMath1471.37054OpenAlexW3094083314MaRDI QIDQ2220111

Heng Su, Qihuai Liu, Yufei Chen

Publication date: 21 January 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2020.103976

zbMATH Keywords

Hamiltoniandissipative systemscharacteristic equationfirst integral

Mathematics Subject Classification ID

Hamilton's equations (70H05) Lagrange's equations (70H03) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (2)

Harmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity ⋮ Orbital dynamics on invariant sets of contact Hamiltonian systems

Cites Work

• Unnamed Item
• A class of exact solutions of the Liénard-type ordinary nonlinear differential equation
• Nonlinear dynamic analysis of an electrical machine rotor-bearing system by the optimal homotopy perturbation method
• Existence of a pair of periodic solutions of an O.D.E. Generalizing a problem in nonlinear elasticity, via variational methods
• One-dimensional autonomous systems and dissipative systems
• Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior
• Existence of two positive solutions of a singular nonlinear periodic boundary value problem
• Mathematical models with singularities. A zoo of singular creatures
• A class of nonconservative Lagrangian systems on Riemannian manifolds
• Elementary First Integrals of Differential Equations
• Large amplitude oscillations of a tube of incompressible elastic material
• Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability
• On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator
• Nonstandard conserved Hamiltonian structures in dissipative/damped systems: Nonlinear generalizations of damped harmonic oscillator
• The Jacobi Last Multiplier and its applications in mechanics
• Alternative Lagrangians for spherically symmetric potentials
• On a Class of Oscillations in the Finite-Deformation Theory of Elasticity
• On Dissipative Systems and Related Variational Principles
• Solving second-order ordinary differential equations by extending the Prelle-Singer method
• A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators
• On a unique nonlinear oscillator
• On Non-Linear Radial Oscillations of an Incompressible, Hyperelastic Spherical Shell
• On the general solution for the modified Emden-type equation
• On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations
• A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators

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